      The holography and the AdS/CFT correspondence [1]}, [2]}, [3]}, [4]} provide us a useful method to compute the Green's function at strong coupling and quantum many-body systems [5]}, [6]}, [7]}, [8]}, [9]}. The out-of-time-ordered correlation functions(OTOCs) have been used to investigate the holographic chaos [10]}, [11]}, [12]}. A new aspect of quantum chaos have been found by using the AdS/CFT correspondence [13]}, [14]}. We can study the holographic chaos by using the retarded Green's function. The Green's function is not unique at pole-skipping point in complex momentum space \((\omega ,k)\)  and this phenomenon is known as “pole-skipping” [15]}, [16]}, [17]}. The retarded Green's function is given by
\(G^R(\omega ,k)_{T^{00}T^{00}}=\frac{b(\omega ,k)}{a(\omega ,k)}.\) 
